Search a number
-
+
11053536000 = 283531317521
BaseRepresentation
bin10100100101101011…
…11001001100000000
31001112100011210211020
422102311321030000
5140114201123000
65024455345440
7540626335323
oct122265711400
931470153736
1011053536000
114762484221
122185982280
131072050360
1476c0487ba
1544a616ba0
hex292d79300

11053536000 has 576 divisors, whose sum is σ = 41944646016. Its totient is φ = 2555904000.

The previous prime is 11053535989. The next prime is 11053536001. The reversal of 11053536000 is 63535011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11053536001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21215740 + ... + 21216260.

It is an arithmetic number, because the mean of its divisors is an integer number (72820566).

Almost surely, 211053536000 is an apocalyptic number.

11053536000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11053536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20972323008).

11053536000 is an abundant number, since it is smaller than the sum of its proper divisors (30891110016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11053536000 is a wasteful number, since it uses less digits than its factorization.

11053536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The spelling of 11053536000 in words is "eleven billion, fifty-three million, five hundred thirty-six thousand".